The perimeter of a parallelogram is 42cm,its adjacent sides are in ratio 1:2.find the dimension if the oarallelogram
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Solution -
We know,
Perimeter of Parallelogram = 2(length + breadth)
Let's assume one side as x cm
So, the other side be 2x cm
According to Question,
Perimeter of parallelogram = 42 cm
⇒ 2(x + 2x) = 42
⇒ 3x = 42/2 = 21
⇒ x = 21/3
⇒ x = 7
Measurements -
One side = x cm = 7 cm
Another side = 2x cm =2(7) = 14 cm
∴ The adjacent sides of the parallelogram are 7 cm and 14 cm respectively
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ATQ
length of two adjacent sides of parallelogram are in ratio 1 : 2
Let the length of first side and it's opposite sides be : X cm
Therefore, the length of second adjacent side and it's opposite side be : 2X cm
Perimeter of parallelogram : 42 cm
Therefore, (X + 2X + X + 2X) = 42
= 6X = 42
= X = 42/6
= X = 7
It's adjacent side = 2 x 7 = 14 cms
THEREFORE THE FIRST SIDE OF PARALLELOGRAMS AND ITS OPPOSITE SIDE ARE 7 cms
& IT'S ADJACENT SIDE AND IT'S OPPOSITE SIDE LENGTHS ARE 14cms
length of two adjacent sides of parallelogram are in ratio 1 : 2
Let the length of first side and it's opposite sides be : X cm
Therefore, the length of second adjacent side and it's opposite side be : 2X cm
Perimeter of parallelogram : 42 cm
Therefore, (X + 2X + X + 2X) = 42
= 6X = 42
= X = 42/6
= X = 7
It's adjacent side = 2 x 7 = 14 cms
THEREFORE THE FIRST SIDE OF PARALLELOGRAMS AND ITS OPPOSITE SIDE ARE 7 cms
& IT'S ADJACENT SIDE AND IT'S OPPOSITE SIDE LENGTHS ARE 14cms
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